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Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics)
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简体网页||繁体网页
Christopher D. Sogge 作者
Cambridge University Press
译者
1993-02-26 出版日期
252 页数
USD 95.00 价格
Hardcover
丛书系列
9780521434645 图书编码

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Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) 在线电子书 图书描述

Fourier Integrals in Classical Analysis is an advanced treatment of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. Using microlocal analysis, the author in particular studies problems involving maximal functions and Riesz means using the so-called half-wave operator. This self-contained book starts with a rapid review of important topics in Fourier analysis. The author then presents the necessary tools from microlocal analysis, and goes on to give a proof of the sharp Weyl formula which he then modifies to give sharp estimates for the size of eigenfunctions on compact manifolds. Finally, the tools that have been developed are used to study the regularity properties of Fourier integral operators, culminating in the proof of local smoothing estimates and their applications to singular maximal theorems in two and more dimensions.

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